0.08/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.15	% Command    : do_cvc5 %s %d
0.14/0.36	% Computer   : n002.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1200
0.14/0.36	% WCLimit    : 120
0.14/0.36	% DateTime   : Tue Jul 13 16:02:33 EDT 2021
0.14/0.37	% CPUTime    : 
0.22/0.52	%----THF division
0.22/0.53	------- cvc5-thf casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120...
0.22/0.53	--- Run --ho-elim --full-saturate-quant at 10...
0.52/0.69	% SZS status Theorem for theBenchmark
0.52/0.70	% SZS output start Proof for theBenchmark
0.52/0.70	(proof
0.52/0.70	(let ((_let_1 (forall ((A_27a d) (V0i mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (s tyop_2Enum_2Enum))) (let ((_let_2 (s ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a)))) (= (_let_2 (c_2Einteger__word_2Ei2w_2E1 ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint V0i)))) (_let_2 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool ((mono_2Ec_2Einteger_2Eint__lt V0i) (mono_2Ec_2Einteger_2Eint__of__num mono_2Ec_2Enum_2E0))))) (_let_2 (c_2Ewords_2Eword__2comp_2E1 (_let_2 (c_2Ewords_2En2w_2E1 (_let_1 (i_mono_2Etyop_2Enum_2Enum (mono_2Ec_2Einteger_2ENum (mono_2Ec_2Einteger_2Eint__neg V0i))))))))) (_let_2 (c_2Ewords_2En2w_2E1 (_let_1 (i_mono_2Etyop_2Enum_2Enum (mono_2Ec_2Einteger_2ENum V0i))))))))))))) (let ((_let_2 (forall ((A_27a d)) (let ((_let_1 (s ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a)))) (let ((_let_2 (_let_1 (c_2Ewords_2En2w_2E1 ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum mono_2Ec_2Enum_2E0)))))) (= (_let_1 (c_2Ewords_2Eword__2comp_2E1 _let_2)) _let_2)))))) (let ((_let_3 (forall ((V0n mono_2Etyop_2Enum_2Enum)) (= (mono_2Ec_2Einteger_2ENum (mono_2Ec_2Einteger_2Eint__of__num V0n)) V0n)))) (let ((_let_4 (forall ((A_27a d)) (and (forall ((V0t1_2E0 u) (V1t2_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V0t1_2E0))) (= (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool mono_2Ec_2Ebool_2ET))) _let_2) (_let_1 V1t2_2E0))) _let_2)))) (forall ((V2t1_2E0 u) (V3t2_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V3t2_2E0))) (= (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool mono_2Ec_2Ebool_2EF))) (_let_1 V2t1_2E0)) _let_2)) _let_2)))))))) (let ((_let_5 (forall ((V0t Bool)) (=> mono_2Ec_2Ebool_2EF V0t)))) (let ((_let_6 (mono_2Ec_2Einteger_2Eint__of__num mono_2Ec_2Enum_2E0))) (let ((_let_7 (mono_2Ec_2Einteger_2Eint__neg _let_6))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (not (forall ((A_27a d)) (let ((_let_1 (s ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a)))) (= (_let_1 (c_2Einteger__word_2Ei2w_2E1 ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint (mono_2Ec_2Einteger_2Eint__of__num mono_2Ec_2Enum_2E0))))) (_let_1 (c_2Ewords_2En2w_2E1 ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum mono_2Ec_2Enum_2E0)))))))))) (let ((_let_10 (forall ((V0n mono_2Etyop_2Enum_2Enum) (V1m mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (mono_2Ec_2Einteger_2Eint__of__num V1m))) (let ((_let_2 (mono_2Ec_2Einteger_2Eint__neg _let_1))) (let ((_let_3 (mono_2Ec_2Einteger_2Eint__of__num V0n))) (let ((_let_4 (mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__neg _let_3)))) (let ((_let_5 (mono_2Ec_2Einteger_2Eint__lt _let_3))) (and (= (_let_5 _let_1) ((mono_2Ec_2Eprim__rec_2E_3C V0n) V1m)) (= (_let_5 _let_2) mono_2Ec_2Ebool_2EF) (= (_let_4 _let_1) (or (not (= V0n mono_2Ec_2Enum_2E0)) (not (= V1m mono_2Ec_2Enum_2E0)))) (= (_let_4 _let_2) ((mono_2Ec_2Eprim__rec_2E_3C V1m) V0n))))))))))) (let ((_let_11 (forall ((BOUND_VARIABLE_1742 d) (V2t1_2E0 u) (V3t2_2E0 u)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_1742))) (let ((_let_2 (ho_9 _let_1 V3t2_2E0))) (= _let_2 (ho_9 _let_1 (ho_29 (ho_28 (ho_78 k_77 (ho_9 (ho_8 k_7 tyop_2Emin_2Ebool) (ho_32 k_31 false))) (ho_9 _let_1 V2t1_2E0)) _let_2)))))))) (let ((_let_12 (ho_8 k_7 tyop_2Enum_2Enum))) (let ((_let_13 (ho_29 k_46 (ho_9 _let_12 (ho_45 k_44 mono_2Ec_2Enum_2E0))))) (let ((_let_14 (ho_6 (ho_5 k_26 tyop_2Emin_2Ebool) skv_98))) (let ((_let_15 (ho_8 k_7 _let_14))) (let ((_let_16 (ho_9 _let_15 _let_13))) (let ((_let_17 (ho_8 k_7 tyop_2Emin_2Ebool))) (let ((_let_18 (= _let_16 (ho_9 _let_15 (ho_29 (ho_28 (ho_78 k_77 (ho_9 _let_17 (ho_32 k_31 BOOLEAN_TERM_VARIABLE_8651))) _let_16) _let_16))))) (let ((_let_19 (1))) (let ((_let_20 (MACRO_SR_PRED_TRANSFORM (ASSUME |:args| (mono_2Ec_2Ebool_2ET)) |:args| ((= mono_2Ec_2Ebool_2ET true))))) (let ((_let_21 (MACRO_SR_PRED_TRANSFORM (EQ_RESOLVE (ASSUME |:args| (_let_5)) (MACRO_SR_EQ_INTRO |:args| (_let_5 7 12))) |:args| ((= mono_2Ec_2Ebool_2EF false))))) (let ((_let_22 (ho_20 k_19 mono_2Ec_2Enum_2E0))) (let ((_let_23 (ho_72 k_92 _let_22))) (let ((_let_24 (ho_9 _let_15 (ho_29 k_46 (ho_9 _let_12 (ho_45 k_44 _let_23)))))) (let ((_let_25 (ho_22 k_21 _let_22))) (let ((_let_26 (ho_9 _let_15 (ho_29 k_30 (ho_9 _let_15 (ho_29 k_46 (ho_9 _let_12 (ho_45 k_44 (ho_72 k_92 _let_25))))))))) (let ((_let_27 (ho_9 _let_15 (ho_29 k_65 (ho_9 (ho_8 k_7 tyop_2Einteger_2Eint) (ho_48 k_47 _let_22)))))) (let ((_let_28 (= _let_27 (ho_9 _let_15 (ho_29 (ho_28 (ho_78 k_77 (ho_9 _let_17 (ho_32 k_31 BOOLEAN_TERM_VARIABLE_8839))) _let_26) _let_24))))) (let ((_let_29 (= _let_16 (ho_9 _let_15 (ho_29 k_30 _let_16))))) (let ((_let_30 (= mono_2Ec_2Enum_2E0 _let_23))) (let ((_let_31 (= _let_16 _let_27))) (let ((_let_32 (= _let_22 _let_25))) (let ((_let_33 (not _let_18))) (let ((_let_34 (forall ((A_27a d) (V0i mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (ho_8 k_7 (ho_6 (ho_5 k_26 tyop_2Emin_2Ebool) A_27a)))) (let ((_let_2 (ho_8 k_7 tyop_2Enum_2Enum))) (= (ho_9 _let_1 (ho_29 (ho_28 (ho_78 k_77 (ho_9 (ho_8 k_7 tyop_2Emin_2Ebool) (ho_32 k_31 (ho_25 (ho_24 k_23 V0i) (ho_20 k_19 mono_2Ec_2Enum_2E0))))) (ho_9 _let_1 (ho_29 k_30 (ho_9 _let_1 (ho_29 k_46 (ho_9 _let_2 (ho_45 k_44 (ho_72 k_92 (ho_22 k_21 V0i))))))))) (ho_9 _let_1 (ho_29 k_46 (ho_9 _let_2 (ho_45 k_44 (ho_72 k_92 V0i))))))) (ho_9 _let_1 (ho_29 k_65 (ho_9 (ho_8 k_7 tyop_2Einteger_2Eint) (ho_48 k_47 V0i)))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME |:args| (_let_1)) (PREPROCESS |:args| ((= _let_1 _let_34)))))) (let ((_let_36 (19))) (let ((_let_37 (6))) (let ((_let_38 (23 ho_9))) (let ((_let_39 (23 ho_29))) (let ((_let_40 (23 ho_28))) (let ((_let_41 (23 ho_78))) (let ((_let_42 (23 ho_32))) (let ((_let_43 (ho_24 k_23 _let_22))) (let ((_let_44 (ho_25 _let_43 _let_22))) (let ((_let_45 (REFL |:args| (k_31)))) (let ((_let_46 (REFL |:args| (_let_17)))) (let ((_let_47 (REFL |:args| (k_77)))) (let ((_let_48 (REFL |:args| (_let_15)))) (let ((_let_49 (_let_34))) (let ((_let_50 (not BOOLEAN_TERM_VARIABLE_8839))) (let ((_let_51 (ho_25 _let_43 _let_25))) (let ((_let_52 (not _let_44))) (let ((_let_53 (forall ((BOUND_VARIABLE_1598 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1600 mono_2Etyop_2Enum_2Enum)) (not (ho_25 (ho_24 k_23 (ho_20 k_19 BOUND_VARIABLE_1598)) (ho_22 k_21 (ho_20 k_19 BOUND_VARIABLE_1600))))))) (let ((_let_54 (not _let_51))) (let ((_let_55 (forall ((BOUND_VARIABLE_1628 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1630 mono_2Etyop_2Enum_2Enum)) (= ((mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__neg (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1628))) (mono_2Ec_2Einteger_2Eint__neg (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1630))) ((mono_2Ec_2Eprim__rec_2E_3C BOUND_VARIABLE_1630) BOUND_VARIABLE_1628))))) (let ((_let_56 (forall ((BOUND_VARIABLE_1610 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1612 mono_2Etyop_2Enum_2Enum)) (= ((mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__neg (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1610))) (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1612)) (or (not (= mono_2Ec_2Enum_2E0 BOUND_VARIABLE_1610)) (not (= mono_2Ec_2Enum_2E0 BOUND_VARIABLE_1612))))))) (let ((_let_57 (forall ((BOUND_VARIABLE_1585 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1587 mono_2Etyop_2Enum_2Enum)) (= ((mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1585)) (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1587)) ((mono_2Ec_2Eprim__rec_2E_3C BOUND_VARIABLE_1585) BOUND_VARIABLE_1587))))) (let ((_let_58 (_let_53))) (let ((_let_59 (EQ_RESOLVE (ASSUME |:args| (_let_8)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_8 7 12)) (PREPROCESS |:args| ((= (= _let_6 _let_7) _let_32))))))) (let ((_let_60 (not _let_32))) (let ((_let_61 (20))) (let ((_let_62 (REFL |:args| (_let_60)))) (let ((_let_63 (and _let_54 _let_32))) (let ((_let_64 (SYMM (SYMM _let_59)))) (let ((_let_65 (forall ((A_27a d)) (let ((_let_1 (ho_8 k_7 (ho_6 (ho_5 k_26 tyop_2Emin_2Ebool) A_27a)))) (let ((_let_2 (ho_9 _let_1 (ho_29 k_46 (ho_9 (ho_8 k_7 tyop_2Enum_2Enum) (ho_45 k_44 mono_2Ec_2Enum_2E0)))))) (= _let_2 (ho_9 _let_1 (ho_29 k_30 _let_2)))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME |:args| (_let_2)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_2 7 12)) (PREPROCESS |:args| ((= (forall ((A_27a d)) (let ((_let_1 (s ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a)))) (let ((_let_2 (_let_1 (c_2Ewords_2En2w_2E1 ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum mono_2Ec_2Enum_2E0)))))) (= _let_2 (_let_1 (c_2Ewords_2Eword__2comp_2E1 _let_2)))))) _let_65))))))) (let ((_let_67 (forall ((V0n mono_2Etyop_2Enum_2Enum)) (= V0n (ho_72 k_92 (ho_20 k_19 V0n)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME |:args| (_let_3)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_3 7 12)) (PREPROCESS |:args| ((= (forall ((V0n mono_2Etyop_2Enum_2Enum)) (= V0n (mono_2Ec_2Einteger_2ENum (mono_2Ec_2Einteger_2Eint__of__num V0n)))) _let_67))))))) (let ((_let_69 ((= BOOLEAN_TERM_VARIABLE_8651 false)))) (let ((_let_70 (forall ((A_27a d)) (let ((_let_1 (ho_8 k_7 (ho_6 (ho_5 k_26 tyop_2Emin_2Ebool) A_27a)))) (= (ho_9 _let_1 (ho_29 k_46 (ho_9 (ho_8 k_7 tyop_2Enum_2Enum) (ho_45 k_44 mono_2Ec_2Enum_2E0)))) (ho_9 _let_1 (ho_29 k_65 (ho_9 (ho_8 k_7 tyop_2Einteger_2Eint) (ho_48 k_47 (ho_20 k_19 mono_2Ec_2Enum_2E0)))))))))) (let ((_let_71 (not _let_31))) (let ((_let_72 (not _let_70))) (let ((_let_73 (EQ_RESOLVE (ASSUME |:args| (_let_9)) (PREPROCESS |:args| ((= _let_9 _let_72)))))) (let ((_let_74 (_let_71))) (let ((_let_75 (not _let_28))) (let ((_let_76 (not _let_29))) (let ((_let_77 (not _let_30))) (let ((_let_78 (not BOOLEAN_TERM_VARIABLE_8651))) (let ((_let_79 (and _let_71 _let_28 _let_50 _let_78 _let_32 _let_30 _let_29))) (let ((_let_80 (23 ho_45))) (let ((_let_81 (REFL |:args| (k_44)))) (let ((_let_82 (REFL |:args| (_let_12)))) (let ((_let_83 (REFL |:args| (k_46)))) (let ((_let_84 (CONG _let_48 (CONG _let_83 (CONG _let_82 (CONG _let_81 (SYMM (SYMM (ASSUME |:args| (_let_30)))) |:args| _let_80) |:args| _let_38) |:args| _let_39) |:args| _let_38))) (let ((_let_85 (REFL |:args| (_let_16)))) (let ((_let_86 (_let_11))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME |:args| _let_86) |:args| (_let_14 _let_13 _let_13)) |:args| _let_86) (CONG (REFL |:args| _let_86) (CONG _let_85 (CONG _let_48 (CONG (CONG (CONG _let_47 (CONG _let_46 (CONG _let_45 (MACRO_SR_PRED_INTRO |:args| ((= false BOOLEAN_TERM_VARIABLE_8651))) |:args| _let_42) |:args| _let_38) |:args| _let_41) _let_85 |:args| _let_40) _let_85 |:args| _let_39) |:args| _let_38) |:args| _let_37) |:args| _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG |:args| (_let_79)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS (CONG _let_85 (TRANS (CONG _let_48 (CONG (CONG (CONG _let_47 (CONG _let_46 (CONG _let_45 (TRANS (FALSE_INTRO (ASSUME |:args| (_let_78))) (SYMM (FALSE_INTRO (ASSUME |:args| (_let_50))))) |:args| _let_42) |:args| _let_38) |:args| _let_41) (TRANS (SYMM (SYMM (ASSUME |:args| (_let_29)))) (CONG _let_48 (CONG (REFL |:args| (k_30)) (TRANS _let_84 (CONG _let_48 (CONG _let_83 (CONG _let_82 (CONG _let_81 (CONG (REFL |:args| (k_92)) _let_64 |:args| (23 ho_72)) |:args| _let_80) |:args| _let_38) |:args| _let_39) |:args| _let_38)) |:args| _let_39) |:args| _let_38)) |:args| _let_40) _let_84 |:args| _let_39) |:args| _let_38) (SYMM (ASSUME |:args| (_let_28)))) |:args| _let_37) (FALSE_INTRO (ASSUME |:args| _let_74)))) |:args| (_let_71 _let_28 _let_50 _let_78 _let_32 _let_30 _let_29))) |:args| (true _let_79)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_71) _let_31))) (REFL |:args| (_let_75)) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_50) BOOLEAN_TERM_VARIABLE_8839))) (MACRO_SR_PRED_INTRO |:args| ((= (not _let_78) BOOLEAN_TERM_VARIABLE_8651))) _let_62 (REFL |:args| (_let_77)) (REFL |:args| (_let_76)) (REFL |:args| (_let_33)) |:args| _let_61)) |:args| ((or _let_60 _let_31 BOOLEAN_TERM_VARIABLE_8651 _let_77 _let_76 BOOLEAN_TERM_VARIABLE_8839 _let_75 _let_33))) _let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_73) |:args| (_let_72))) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_72) _let_70))) (REFL |:args| _let_74) |:args| _let_61)) _let_73 |:args| (_let_71 true _let_70)) (EQ_RESOLVE (MACRO_SR_PRED_INTRO |:args| _let_69) (REWRITE |:args| _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 |:args| (mono_2Ec_2Enum_2E0)) |:args| (_let_67))) _let_68 |:args| (_let_30 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 |:args| (skv_98)) |:args| (_let_65))) _let_66 |:args| (_let_29 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_8839 _let_44)))) |:args| ((or _let_44 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG |:args| (_let_63)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS (CONG (REFL |:args| (_let_43)) _let_64 |:args| (23 ho_25)) (FALSE_INTRO (ASSUME |:args| (_let_54))))) |:args| (_let_54 _let_32))) |:args| (true _let_63)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_54) _let_51))) _let_62 (REFL |:args| (_let_52)) |:args| _let_61)) |:args| ((or _let_60 _let_52 _let_51))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_58) |:args| (mono_2Ec_2Enum_2E0 mono_2Ec_2Enum_2E0)) |:args| _let_58)) (AND_ELIM (EQ_RESOLVE (ASSUME |:args| (_let_10)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_10 7 12)) (MACRO_SR_EQ_INTRO _let_21 _let_20 |:args| ((and _let_57 (forall ((BOUND_VARIABLE_1598 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1600 mono_2Etyop_2Enum_2Enum)) (= ((mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1598)) (mono_2Ec_2Einteger_2Eint__neg (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1600))) mono_2Ec_2Ebool_2EF)) _let_56 _let_55) 7 12)) (PREPROCESS |:args| ((= (and _let_57 (forall ((BOUND_VARIABLE_1598 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1600 mono_2Etyop_2Enum_2Enum)) (not ((mono_2Ec_2Einteger_2Eint__lt (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1598)) (mono_2Ec_2Einteger_2Eint__neg (mono_2Ec_2Einteger_2Eint__of__num BOUND_VARIABLE_1600))))) _let_56 _let_55) (and (forall ((BOUND_VARIABLE_1585 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1587 mono_2Etyop_2Enum_2Enum)) (= (ho_25 (ho_24 k_23 (ho_20 k_19 BOUND_VARIABLE_1585)) (ho_20 k_19 BOUND_VARIABLE_1587)) (ho_18 (ho_12 k_17 BOUND_VARIABLE_1585) BOUND_VARIABLE_1587))) _let_53 (forall ((BOUND_VARIABLE_1610 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1612 mono_2Etyop_2Enum_2Enum)) (= (ho_25 (ho_24 k_23 (ho_22 k_21 (ho_20 k_19 BOUND_VARIABLE_1610))) (ho_20 k_19 BOUND_VARIABLE_1612)) (or (not (= mono_2Ec_2Enum_2E0 BOUND_VARIABLE_1610)) (not (= mono_2Ec_2Enum_2E0 BOUND_VARIABLE_1612))))) (forall ((BOUND_VARIABLE_1628 mono_2Etyop_2Enum_2Enum) (BOUND_VARIABLE_1630 mono_2Etyop_2Enum_2Enum)) (= (ho_25 (ho_24 k_23 (ho_22 k_21 (ho_20 k_19 BOUND_VARIABLE_1628))) (ho_22 k_21 (ho_20 k_19 BOUND_VARIABLE_1630))) (ho_18 (ho_12 k_17 BOUND_VARIABLE_1630) BOUND_VARIABLE_1628))))))))) |:args| _let_19) |:args| (_let_54 false _let_53)) |:args| (_let_52 false _let_32 true _let_51)) |:args| (_let_50 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 |:args| (skv_98 _let_22)) |:args| _let_49)) (CONG (REFL |:args| _let_49) (CONG (REFL |:args| (_let_27)) (CONG _let_48 (CONG (CONG (CONG _let_47 (CONG _let_46 (CONG _let_45 (MACRO_SR_PRED_INTRO |:args| ((= _let_44 BOOLEAN_TERM_VARIABLE_8839))) |:args| _let_42) |:args| _let_38) |:args| _let_41) (REFL |:args| (_let_26)) |:args| _let_40) (REFL |:args| (_let_24)) |:args| _let_39) |:args| _let_38) |:args| _let_37) |:args| _let_36))) _let_35 |:args| (_let_28 false _let_34)) |:args| (_let_33 false _let_32 true _let_31 true BOOLEAN_TERM_VARIABLE_8651 false _let_30 false _let_29 true BOOLEAN_TERM_VARIABLE_8839 false _let_28)) (AND_ELIM (EQ_RESOLVE (ASSUME |:args| (_let_4)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_4 7 12)) (MACRO_SR_EQ_INTRO _let_21 _let_20 |:args| ((and (forall ((BOUND_VARIABLE_1730 d) (V0t1_2E0 u) (V1t2_2E0 u)) (let ((_let_1 (s BOUND_VARIABLE_1730))) (let ((_let_2 (_let_1 V0t1_2E0))) (= _let_2 (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool mono_2Ec_2Ebool_2ET))) _let_2) (_let_1 V1t2_2E0))))))) (forall ((BOUND_VARIABLE_1742 d) (V2t1_2E0 u) (V3t2_2E0 u)) (let ((_let_1 (s BOUND_VARIABLE_1742))) (let ((_let_2 (_let_1 V3t2_2E0))) (= _let_2 (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool mono_2Ec_2Ebool_2EF))) (_let_1 V2t1_2E0)) _let_2))))))) 7 12)) (PREPROCESS |:args| ((= (and (forall ((BOUND_VARIABLE_1730 d) (V0t1_2E0 u) (V1t2_2E0 u)) (let ((_let_1 (s BOUND_VARIABLE_1730))) (let ((_let_2 (_let_1 V0t1_2E0))) (= _let_2 (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool true))) _let_2) (_let_1 V1t2_2E0))))))) (forall ((BOUND_VARIABLE_1742 d) (V2t1_2E0 u) (V3t2_2E0 u)) (let ((_let_1 (s BOUND_VARIABLE_1742))) (let ((_let_2 (_let_1 V3t2_2E0))) (= _let_2 (_let_1 (((c_2Ebool_2ECOND_2E3 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool false))) (_let_1 V2t1_2E0)) _let_2))))))) (and (forall ((BOUND_VARIABLE_1730 d) (V0t1_2E0 u) (V1t2_2E0 u)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_1730))) (let ((_let_2 (ho_9 _let_1 V0t1_2E0))) (= _let_2 (ho_9 _let_1 (ho_29 (ho_28 (ho_78 k_77 (ho_9 (ho_8 k_7 tyop_2Emin_2Ebool) (ho_32 k_31 true))) _let_2) (ho_9 _let_1 V1t2_2E0))))))) _let_11)))))) |:args| _let_19) |:args| (false true _let_18 false _let_11)) |:args| ((forall ((V0 (-> Bool Bool))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum Bool))) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ((s (_let_1 (_let_1 tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))) (forall ((A_27a d) (V0x_2E0 u) (V1y_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V0x_2E0))) (let ((_let_3 (_let_1 V1y_2E0))) (= (= _let_2 _let_3) (= _let_3 _let_2)))))) _let_10 (forall ((A_27a d) (X0_2E0 u)) (let ((_let_1 ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a))) (let ((_let_2 (s _let_1))) (let ((_let_3 (_let_2 X0_2E0))) (= (_let_2 (c_2Ewords_2Eword__2comp_2E1 _let_3)) (_let_2 ((app_2E2 ((s ((tyop_2Emin_2Efun _let_1) _let_1)) c_2Ewords_2Eword__2comp_2E0)) _let_3))))))) (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Emin_2Ebool))) (let ((_let_2 (_let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (s _let_2))) (= (_let_3 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (V0 V1))) (_let_3 ((app_2E2 ((s (_let_1 _let_2)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V1))))))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Einteger_2Eint)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint Bool)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint Bool))) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Einteger_2Eint))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ((s (_let_1 (_let_1 tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Emin_2Ebool)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))) (forall ((A_27a d) (X0 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum X0)))) (let ((_let_2 ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a))) (let ((_let_3 (s _let_2))) (= (_let_3 (c_2Ewords_2En2w_2E1 _let_1)) (_let_3 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) _let_2)) c_2Ewords_2En2w_2E0)) _let_1))))))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint Bool)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Einteger_2Eint))) (let ((_let_2 (_let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (s _let_2))) (= (_let_3 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (V0 V1))) (_let_3 ((app_2E2 ((s (_let_1 _let_2)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint V1))))))))) (forall ((V0 mono_2Etyop_2Enum_2Enum)) (= (j_mono_2Etyop_2Enum_2Enum ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V0))) V0)) (forall ((V0 mono_2Etyop_2Einteger_2Eint)) (= (j_mono_2Etyop_2Einteger_2Eint ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (s tyop_2Enum_2Enum))) (= (_let_1 (i_mono_2Etyop_2Enum_2Enum (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Enum_2Enum)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 V0))) (_let_1 (i_mono_2Etyop_2Enum_2Enum V1))))))) (forall ((A_27a d) (V0f_2E0 u)) (= (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_21_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)))) (forall ((V1x_2E0 u)) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Enum_2Enum)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 _let_2))) _let_2)))) (forall ((V0_2E0 u)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Emin_2Ebool))) (let ((_let_2 (s (_let_1 (_let_1 tyop_2Emin_2Ebool))))) (let ((_let_3 (_let_2 V0_2E0))) (= (_let_2 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))) _let_9 (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) _let_8 _let_5 (forall ((V0_2E0 u)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (let ((_let_2 (s (_let_1 (_let_1 tyop_2Emin_2Ebool))))) (let ((_let_3 (_let_2 V0_2E0))) (= (_let_2 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))) (forall ((A_27a d) (A_27b d) (V0x_2E0 u) (V1y_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V0x_2E0))) (let ((_let_3 ((tyop_2Emin_2Efun A_27b) A_27a))) (= (_let_1 ((app_2E2 ((s _let_3) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) _let_3)) combin_k_2E0)) _let_2))) ((s A_27b) V1y_2E0))) _let_2))))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Einteger_2Eint)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 _let_2))) _let_2)))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum Bool)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (s tyop_2Emin_2Ebool))) (= (_let_1 (i_mono_2Etyop_2Emin_2Ebool (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1))))))) (forall ((A_27a d) (X0_2E0 u)) (let ((_let_1 (tyop_2Ebool_2Eitself A_27a))) (let ((_let_2 ((s _let_1) X0_2E0))) (let ((_let_3 (s tyop_2Enum_2Enum))) (= (j_mono_2Etyop_2Enum_2Enum (_let_3 (c_2Ewords_2Edimword_2E1 _let_2))) (j_mono_2Etyop_2Enum_2Enum (_let_3 ((app_2E2 ((s ((tyop_2Emin_2Efun _let_1) tyop_2Enum_2Enum)) c_2Ewords_2Edimword_2E0)) _let_2)))))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Enum_2Enum)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 V0))) V0)) (forall ((V0 Bool)) (= (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Enum_2Enum))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Enum_2Enum)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 V0))) V0)) (forall ((A_27a d) (X0 Bool) (X1_2E0 u) (X2_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 X2_2E0))) (let ((_let_3 (_let_1 X1_2E0))) (let ((_let_4 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool X0)))) (let ((_let_5 (tyop_2Emin_2Efun A_27a))) (let ((_let_6 (_let_5 A_27a))) (let ((_let_7 (_let_5 _let_6))) (= (_let_1 (((c_2Ebool_2ECOND_2E3 _let_4) _let_3) _let_2)) (_let_1 ((app_2E2 ((s _let_6) ((app_2E2 ((s _let_7) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) _let_7)) c_2Ebool_2ECOND_2E0)) _let_4))) _let_3))) _let_2))))))))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum))) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ((s (_let_1 (_let_1 tyop_2Enum_2Enum))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 V0))) V0))) (forall ((A_27a d) (X0_2E0 u)) (let ((_let_1 ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) (let ((_let_2 ((s _let_1) X0_2E0))) (let ((_let_3 (s tyop_2Emin_2Ebool))) (= (j_mono_2Etyop_2Emin_2Ebool (_let_3 (c_2Ebool_2E_3F_2E1 _let_2))) (j_mono_2Etyop_2Emin_2Ebool (_let_3 ((app_2E2 ((s ((tyop_2Emin_2Efun _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_3F_2E0)) _let_2)))))))) (forall ((V0_2E0 u)) (let ((_let_1 (s tyop_2Emin_2Ebool))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Ebool (j_mono_2Etyop_2Emin_2Ebool _let_2))) _let_2)))) (forall ((V0t1 Bool) (V1t2 Bool) (V2t3 Bool)) (= (=> V0t1 (=> V1t2 V2t3)) (=> (and V0t1 V1t2) V2t3))) (forall ((A_27a d) (V0x_2E0 u)) (let ((_let_1 ((s A_27a) V0x_2E0))) (= (= _let_1 _let_1) mono_2Ec_2Ebool_2ET))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Einteger_2Eint)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (s tyop_2Einteger_2Eint))) (= (_let_1 (i_mono_2Etyop_2Einteger_2Eint (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Einteger_2Eint)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1))))))) (forall ((A_27a d) (A_27b d) (A_27c d) (V0f_2E0 u) (V1g_2E0 u) (V2x_2E0 u)) (let ((_let_1 ((s A_27a) V2x_2E0))) (let ((_let_2 (tyop_2Emin_2Efun A_27a))) (let ((_let_3 (_let_2 A_27b))) (let ((_let_4 ((s _let_3) V1g_2E0))) (let ((_let_5 ((tyop_2Emin_2Efun A_27b) A_27c))) (let ((_let_6 (_let_2 _let_5))) (let ((_let_7 ((s _let_6) V0f_2E0))) (let ((_let_8 (s A_27c))) (let ((_let_9 (_let_2 A_27c))) (let ((_let_10 ((tyop_2Emin_2Efun _let_3) _let_9))) (= (_let_8 ((app_2E2 ((s _let_9) ((app_2E2 ((s _let_10) ((app_2E2 ((s ((tyop_2Emin_2Efun _let_6) _let_10)) combin_s_2E0)) _let_7))) _let_4))) _let_1)) (_let_8 ((app_2E2 ((s _let_5) ((app_2E2 _let_7) _let_1))) ((s A_27b) ((app_2E2 _let_4) _let_1)))))))))))))))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Emin_2Ebool)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))) (forall ((V0 (-> Bool Bool Bool))) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Emin_2Ebool))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((s (_let_1 (_let_1 tyop_2Emin_2Ebool))) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))) (forall ((A_27a d) (X0_2E0 u)) (let ((_let_1 ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool))) (let ((_let_2 ((s _let_1) X0_2E0))) (let ((_let_3 (s tyop_2Emin_2Ebool))) (= (j_mono_2Etyop_2Emin_2Ebool (_let_3 (c_2Ebool_2E_21_2E1 _let_2))) (j_mono_2Etyop_2Emin_2Ebool (_let_3 ((app_2E2 ((s ((tyop_2Emin_2Efun _let_1) tyop_2Emin_2Ebool)) c_2Ebool_2E_21_2E0)) _let_2)))))))) _let_4 (forall ((A_27a d) (X0 Bool) (X1_2E0 u) (X2_2E0 u)) (let ((_let_1 ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a))) (let ((_let_2 (s _let_1))) (let ((_let_3 (_let_2 X2_2E0))) (let ((_let_4 (_let_2 X1_2E0))) (let ((_let_5 ((s tyop_2Emin_2Ebool) (i_mono_2Etyop_2Emin_2Ebool X0)))) (let ((_let_6 (tyop_2Emin_2Efun _let_1))) (let ((_let_7 (_let_6 _let_1))) (let ((_let_8 (_let_6 _let_7))) (= (_let_2 (((c_2Ebool_2ECOND_2E3 _let_5) _let_4) _let_3)) (_let_2 ((app_2E2 ((s _let_7) ((app_2E2 ((s _let_8) ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) _let_8)) c_2Ebool_2ECOND_2E0)) _let_5))) _let_4))) _let_3)))))))))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum Bool)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Enum_2Enum)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 _let_2))) _let_2)))) (forall ((V0_2E0 u)) (let ((_let_1 (s tyop_2Einteger_2Eint))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Einteger_2Eint (j_mono_2Etyop_2Einteger_2Eint _let_2))) _let_2)))) (forall ((V0_2E0 u)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (let ((_let_2 (s (_let_1 (_let_1 tyop_2Enum_2Enum))))) (let ((_let_3 (_let_2 V0_2E0))) (= (_let_2 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 _let_3))) _let_3))))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint Bool))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum Bool))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 V0))) V0)) (forall ((V0 Bool) (V1 Bool)) (= ((mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (let ((_let_2 (_let_1 tyop_2Enum_2Enum))) (let ((_let_3 (s _let_2))) (= (_let_3 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 (V0 V1))) (_let_3 ((app_2E2 ((s (_let_1 _let_2)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1))))))))) mono_2Ec_2Ebool_2ET (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Einteger_2Eint))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 ((s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Einteger_2Eint)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint Bool)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (s tyop_2Emin_2Ebool))) (= (_let_1 (i_mono_2Etyop_2Emin_2Ebool (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 V0))) ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint V1))))))) (forall ((A_27a d) (V0x_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V0x_2E0))) (= (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) A_27a)) combin_i_2E0)) _let_2)) _let_2)))) (forall ((A_27a d) (V0f_2E0 u)) (= (exists ((V1x_2E0 u)) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)) ((s A_27a) V1x_2E0))))) (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) (c_2Ebool_2E_3F_2E1 ((s ((tyop_2Emin_2Efun A_27a) tyop_2Emin_2Ebool)) V0f_2E0)))))) _let_3 (forall ((V0n mono_2Etyop_2Enum_2Enum)) (not ((mono_2Ec_2Eprim__rec_2E_3C V0n) mono_2Ec_2Enum_2E0))) (forall ((V0 Bool) (V1 Bool)) (= (and V0 V1) ((mono_2Ec_2Ebool_2E_2F_5C V0) V1))) (forall ((V0_2E0 u)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Einteger_2Eint))) (let ((_let_2 (s (_let_1 (_let_1 tyop_2Emin_2Ebool))))) (let ((_let_3 (_let_2 V0_2E0))) (= (_let_2 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum Bool)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Enum_2Enum)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (s tyop_2Enum_2Enum))) (= (_let_1 (i_mono_2Etyop_2Enum_2Enum (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Enum_2Enum)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 V0))) ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint V1))))))) (forall ((V0_2E0 u)) (let ((_let_1 (s tyop_2Enum_2Enum))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Enum_2Enum (j_mono_2Etyop_2Enum_2Enum _let_2))) _let_2)))) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint))) (= (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Einteger_2Eint)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 V0))) V0)) (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint mono_2Etyop_2Einteger_2Eint)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (s tyop_2Einteger_2Eint))) (= (_let_1 (i_mono_2Etyop_2Einteger_2Eint (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) tyop_2Einteger_2Eint)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 V0))) (_let_1 (i_mono_2Etyop_2Einteger_2Eint V1))))))) (forall ((A_27a d) (X0_2E0 u) (X1_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 X1_2E0))) (let ((_let_3 (_let_1 X0_2E0))) (let ((_let_4 (tyop_2Emin_2Efun A_27a))) (let ((_let_5 (_let_4 tyop_2Emin_2Ebool))) (= (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((app_2E2 ((s _let_5) ((app_2E2 ((s (_let_4 _let_5)) c_2Emin_2E_3D_2E0)) _let_3))) _let_2))) (= _let_3 _let_2)))))))) _let_2 (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (s tyop_2Emin_2Ebool))) (= (_let_1 (i_mono_2Etyop_2Emin_2Ebool (V0 V1))) (_let_1 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) (_let_1 (i_mono_2Etyop_2Emin_2Ebool V1))))))) (forall ((V0 Bool) (V1 Bool)) (= ((mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))) (forall ((V0 Bool)) (= (mono_2Ec_2Ebool_2E_7E V0) (not V0))) (forall ((A_27a d) (V0P Bool) (V1Q Bool) (V2x_2E0 u) (V3x_27_2E0 u) (V4y_2E0 u) (V5y_27_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V5y_27_2E0))) (let ((_let_3 (_let_1 V3x_27_2E0))) (let ((_let_4 (s tyop_2Emin_2Ebool))) (let ((_let_5 (_let_1 V4y_2E0))) (let ((_let_6 (_let_1 V2x_2E0))) (=> (and (=> (not V1Q) (= _let_5 _let_2)) (=> V1Q (= _let_6 _let_3)) (= V0P V1Q)) (= (_let_1 (((c_2Ebool_2ECOND_2E3 (_let_4 (i_mono_2Etyop_2Emin_2Ebool V0P))) _let_6) _let_5)) (_let_1 (((c_2Ebool_2ECOND_2E3 (_let_4 (i_mono_2Etyop_2Emin_2Ebool V1Q))) _let_3) _let_2))))))))))) (forall ((V0t1 Bool) (V1t2 Bool)) (=> (=> V0t1 V1t2) (=> (=> V1t2 V0t1) (= V0t1 V1t2)))) _let_1 (forall ((V0 (-> mono_2Etyop_2Einteger_2Eint Bool)) (V1 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((A_27a d) (A_27b d) (V0f_2E0 u) (V1g_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun A_27a) A_27b)))) (=> (forall ((V2x_2E0 u)) (let ((_let_1 ((s A_27a) V2x_2E0))) (let ((_let_2 (s ((tyop_2Emin_2Efun A_27a) A_27b)))) (let ((_let_3 (s A_27b))) (= (_let_3 ((app_2E2 (_let_2 V0f_2E0)) _let_1)) (_let_3 ((app_2E2 (_let_2 V1g_2E0)) _let_1))))))) (= (_let_1 V0f_2E0) (_let_1 V1g_2E0))))) (forall ((A_27a d) (X0 mono_2Etyop_2Einteger_2Eint)) (let ((_let_1 ((s tyop_2Einteger_2Eint) (i_mono_2Etyop_2Einteger_2Eint X0)))) (let ((_let_2 ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a))) (let ((_let_3 (s _let_2))) (= (_let_3 (c_2Einteger__word_2Ei2w_2E1 _let_1)) (_let_3 ((app_2E2 ((s ((tyop_2Emin_2Efun tyop_2Einteger_2Eint) _let_2)) c_2Einteger__word_2Ei2w_2E0)) _let_1))))))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Emin_2Ebool) tyop_2Emin_2Ebool)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))) (forall ((V0_2E0 u)) (let ((_let_1 (s ((tyop_2Emin_2Efun tyop_2Enum_2Enum) tyop_2Einteger_2Eint)))) (let ((_let_2 (_let_1 V0_2E0))) (= (_let_1 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 _let_2))) _let_2)))) (forall ((A_27a d) (V0_2E0 u) (V1_2E0 u)) (let ((_let_1 (s A_27a))) (let ((_let_2 (_let_1 V1_2E0))) (let ((_let_3 (_let_1 V0_2E0))) (= (j_mono_2Etyop_2Emin_2Ebool ((s tyop_2Emin_2Ebool) ((c_2Emin_2E_3D_2E2 _let_3) _let_2))) (= _let_3 _let_2)))))) (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (V0 V1))) (= _let_1 _let_1))) (forall ((A_27a d) (V0m mono_2Etyop_2Enum_2Enum) (V1n mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (s tyop_2Enum_2Enum))) (let ((_let_2 (j_mono_2Etyop_2Enum_2Enum (_let_1 (c_2Ewords_2Edimword_2E1 ((s (tyop_2Ebool_2Eitself A_27a)) c_2Ebool_2Ethe__value_2E0)))))) (let ((_let_3 (s ((tyop_2Efcp_2Ecart tyop_2Emin_2Ebool) A_27a)))) (= (= (_let_3 (c_2Ewords_2En2w_2E1 (_let_1 (i_mono_2Etyop_2Enum_2Enum V0m)))) (_let_3 (c_2Ewords_2En2w_2E1 (_let_1 (i_mono_2Etyop_2Enum_2Enum V1n))))) (= ((mono_2Ec_2Earithmetic_2EMOD V0m) _let_2) ((mono_2Ec_2Earithmetic_2EMOD V1n) _let_2))))))) (forall ((V0 (-> mono_2Etyop_2Enum_2Enum mono_2Etyop_2Enum_2Enum Bool)) (V1 mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (tyop_2Emin_2Efun tyop_2Enum_2Enum))) (let ((_let_2 (_let_1 tyop_2Emin_2Ebool))) (let ((_let_3 (s _let_2))) (= (_let_3 (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 (V0 V1))) (_let_3 ((app_2E2 ((s (_let_1 _let_2)) (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 V0))) ((s tyop_2Enum_2Enum) (i_mono_2Etyop_2Enum_2Enum V1))))))))) (not false)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
0.52/0.70	)
0.52/0.70	% SZS output end Proof for theBenchmark
0.52/0.70	EOF